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Finding the Fourth Proportional to 16,086.64, 22,199.68 and 9,713.52

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Solution

The fourth proportional to 16,086.64, 22,199.68 and 9,713.52 is: 13,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.64 : 22,199.68 = 9,713.52 : x
  2. Step 2: Convert to fraction form
    16,086.64/22,199.68 = 9,713.52/x
  3. Step 3: Cross multiply
    16,086.64x = 22,199.68 × 9,713.52
  4. Step 4: Simplify right side
    16,086.64x = 215,637,035.67
  5. Step 5: Solve for x
    x = 215,637,035.67/16,086.64
  6. Step 6: Final answer
    x = 13,404.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.